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Simplifying 7x + 6 + -3(x + 1) = -4x + 6 Reorder the terms: 7x + 6 + -3(1 + x) = -4x + 6 7x + 6 + (1 * -3 + x * -3) = -4x + 6 7x + 6 + (-3 + -3x) = -4x + 6 Reorder the terms: 6 + -3 + 7x + -3x = -4x + 6 Combine like terms: 6 + -3 = 3 3 + 7x + -3x = -4x + 6 Combine like terms: 7x + -3x = 4x 3 + 4x = -4x + 6 Reorder the terms: 3 + 4x = 6 + -4x Solving 3 + 4x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + 4x + 4x = 6 + -4x + 4x Combine like terms: 4x + 4x = 8x 3 + 8x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 8x = 6 + 0 3 + 8x = 6 Add '-3' to each side of the equation. 3 + -3 + 8x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 6 + -3 8x = 6 + -3 Combine like terms: 6 + -3 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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